conditional_logic_puzzle: Worksheet 10 - Expert Practice conditional_logic_puzzle EXPERT

Given: If Sunil is a truth-teller

Step 1: Sunil tells truth → 'Sanjay is liar' is true → Sanjay is liar.
Step 2: Sanjay (liar) says 'Gaurav is truth-teller' → this statement is false → Gaurav is liar.
Step 3: Gaurav (liar) says 'Divya and I are different types' → this statement is false → Divya is SAME type as Gaurav → Divya is liar.
Step 4: Divya (liar) says 'Sunil is truth-teller' → this statement is false → Sunil is liar → CONTRADICTION with our assumption!

This shows that Sunil CANNOT be a truth-teller under these statements.
However, the conditional question asks: IF we assume Sunil is truth-teller, who MUST be a liar? From step 1, Sanjay must be a liar.

Therefore, under the given condition, Sanjay must be a liar.

Given: If Ravi is a truth-teller

Step 1: Ravi tells truth → 'Anita is liar' is true → Anita is liar.
Step 2: Anita (liar) says 'Rohan is truth-teller' → this statement is false → Rohan is liar.
Step 3: Rohan (liar) says 'Pooja and I are different types' → this statement is false → Pooja is SAME type as Rohan → Pooja is liar.
Step 4: Pooja (liar) says 'Ravi is truth-teller' → this statement is false → Ravi is liar → CONTRADICTION with our assumption!

This shows that Ravi CANNOT be a truth-teller under these statements.
However, the conditional question asks: IF we assume Ravi is truth-teller, who MUST be a liar? From step 1, Anita must be a liar.

Therefore, under the given condition, Anita must be a liar.

Given: If Sunil is a truth-teller

Step 1: Sunil tells truth → 'Manoj is liar' is true → Manoj is liar.
Step 2: Manoj (liar) says 'Divya is truth-teller' → this statement is false → Divya is liar.
Step 3: Divya (liar) says 'Neha and I are different types' → this statement is false → Neha is SAME type as Divya → Neha is liar.
Step 4: Neha (liar) says 'Sunil is truth-teller' → this statement is false → Sunil is liar → CONTRADICTION with our assumption!

This shows that Sunil CANNOT be a truth-teller under these statements.
However, the conditional question asks: IF we assume Sunil is truth-teller, who MUST be a liar? From step 1, Manoj must be a liar.

Therefore, under the given condition, Manoj must be a liar.

Given: If Meera is a truth-teller

Step 1: Meera tells truth → 'Rohan is liar' is true → Rohan is liar.
Step 2: Rohan (liar) says 'Rahul is truth-teller' → this statement is false → Rahul is liar.
Step 3: Rahul (liar) says 'Neha and I are different types' → this statement is false → Neha is SAME type as Rahul → Neha is liar.
Step 4: Neha (liar) says 'Meera is truth-teller' → this statement is false → Meera is liar → CONTRADICTION with our assumption!

This shows that Meera CANNOT be a truth-teller under these statements.
However, the conditional question asks: IF we assume Meera is truth-teller, who MUST be a liar? From step 1, Rohan must be a liar.

Therefore, under the given condition, Rohan must be a liar.

Given: If Divya is a truth-teller

Step 1: Divya tells truth → 'Pooja is liar' is true → Pooja is liar.
Step 2: Pooja (liar) says 'Anita is truth-teller' → this statement is false → Anita is liar.
Step 3: Anita (liar) says 'Deepa and I are different types' → this statement is false → Deepa is SAME type as Anita → Deepa is liar.
Step 4: Deepa (liar) says 'Divya is truth-teller' → this statement is false → Divya is liar → CONTRADICTION with our assumption!

This shows that Divya CANNOT be a truth-teller under these statements.
However, the conditional question asks: IF we assume Divya is truth-teller, who MUST be a liar? From step 1, Pooja must be a liar.

Therefore, under the given condition, Pooja must be a liar.

Given: If Kiran is a truth-teller

Step 1: Kiran tells truth → 'Neha is liar' is true → Neha is liar.
Step 2: Neha (liar) says 'Vikram is truth-teller' → this statement is false → Vikram is liar.
Step 3: Vikram (liar) says 'Anita and I are different types' → this statement is false → Anita is SAME type as Vikram → Anita is liar.
Step 4: Anita (liar) says 'Kiran is truth-teller' → this statement is false → Kiran is liar → CONTRADICTION with our assumption!

This shows that Kiran CANNOT be a truth-teller under these statements.
However, the conditional question asks: IF we assume Kiran is truth-teller, who MUST be a liar? From step 1, Neha must be a liar.

Therefore, under the given condition, Neha must be a liar.

Given: If Sanjay is a truth-teller

Step 1: Sanjay tells truth → 'Manoj is liar' is true → Manoj is liar.
Step 2: Manoj (liar) says 'Rahul is truth-teller' → this statement is false → Rahul is liar.
Step 3: Rahul (liar) says 'Neha and I are different types' → this statement is false → Neha is SAME type as Rahul → Neha is liar.
Step 4: Neha (liar) says 'Sanjay is truth-teller' → this statement is false → Sanjay is liar → CONTRADICTION with our assumption!

This shows that Sanjay CANNOT be a truth-teller under these statements.
However, the conditional question asks: IF we assume Sanjay is truth-teller, who MUST be a liar? From step 1, Manoj must be a liar.

Therefore, under the given condition, Manoj must be a liar.

Given: If Priya is a truth-teller

Step 1: Priya tells truth → 'Manoj is liar' is true → Manoj is liar.
Step 2: Manoj (liar) says 'Ravi is truth-teller' → this statement is false → Ravi is liar.
Step 3: Ravi (liar) says 'Vikram and I are different types' → this statement is false → Vikram is SAME type as Ravi → Vikram is liar.
Step 4: Vikram (liar) says 'Priya is truth-teller' → this statement is false → Priya is liar → CONTRADICTION with our assumption!

This shows that Priya CANNOT be a truth-teller under these statements.
However, the conditional question asks: IF we assume Priya is truth-teller, who MUST be a liar? From step 1, Manoj must be a liar.

Therefore, under the given condition, Manoj must be a liar.

Given: If Ravi is a truth-teller

Step 1: Ravi tells truth → 'Anita is liar' is true → Anita is liar.
Step 2: Anita (liar) says 'Rohan is truth-teller' → this statement is false → Rohan is liar.
Step 3: Rohan (liar) says 'Manoj and I are different types' → this statement is false → Manoj is SAME type as Rohan → Manoj is liar.
Step 4: Manoj (liar) says 'Ravi is truth-teller' → this statement is false → Ravi is liar → CONTRADICTION with our assumption!

This shows that Ravi CANNOT be a truth-teller under these statements.
However, the conditional question asks: IF we assume Ravi is truth-teller, who MUST be a liar? From step 1, Anita must be a liar.

Therefore, under the given condition, Anita must be a liar.

Given: If Priya is a truth-teller

Step 1: Priya tells truth → 'Harsha is liar' is true → Harsha is liar.
Step 2: Harsha (liar) says 'Neha is truth-teller' → this statement is false → Neha is liar.
Step 3: Neha (liar) says 'Sanjay and I are different types' → this statement is false → Sanjay is SAME type as Neha → Sanjay is liar.
Step 4: Sanjay (liar) says 'Priya is truth-teller' → this statement is false → Priya is liar → CONTRADICTION with our assumption!

This shows that Priya CANNOT be a truth-teller under these statements.
However, the conditional question asks: IF we assume Priya is truth-teller, who MUST be a liar? From step 1, Harsha must be a liar.

Therefore, under the given condition, Harsha must be a liar.

Given: If Priya is a truth-teller

Step 1: Priya tells truth → 'Divya is liar' is true → Divya is liar.
Step 2: Divya (liar) says 'Sanjay is truth-teller' → this statement is false → Sanjay is liar.
Step 3: Sanjay (liar) says 'Gaurav and I are different types' → this statement is false → Gaurav is SAME type as Sanjay → Gaurav is liar.
Step 4: Gaurav (liar) says 'Priya is truth-teller' → this statement is false → Priya is liar → CONTRADICTION with our assumption!

This shows that Priya CANNOT be a truth-teller under these statements.
However, the conditional question asks: IF we assume Priya is truth-teller, who MUST be a liar? From step 1, Divya must be a liar.

Therefore, under the given condition, Divya must be a liar.

Given: If Sanjay is a truth-teller

Step 1: Sanjay tells truth → 'Meera is liar' is true → Meera is liar.
Step 2: Meera (liar) says 'Priya is truth-teller' → this statement is false → Priya is liar.
Step 3: Priya (liar) says 'Vikram and I are different types' → this statement is false → Vikram is SAME type as Priya → Vikram is liar.
Step 4: Vikram (liar) says 'Sanjay is truth-teller' → this statement is false → Sanjay is liar → CONTRADICTION with our assumption!

This shows that Sanjay CANNOT be a truth-teller under these statements.
However, the conditional question asks: IF we assume Sanjay is truth-teller, who MUST be a liar? From step 1, Meera must be a liar.

Therefore, under the given condition, Meera must be a liar.

Given: If Ravi is a truth-teller

Step 1: Ravi tells truth → 'Manoj is liar' is true → Manoj is liar.
Step 2: Manoj (liar) says 'Priya is truth-teller' → this statement is false → Priya is liar.
Step 3: Priya (liar) says 'Harsha and I are different types' → this statement is false → Harsha is SAME type as Priya → Harsha is liar.
Step 4: Harsha (liar) says 'Ravi is truth-teller' → this statement is false → Ravi is liar → CONTRADICTION with our assumption!

This shows that Ravi CANNOT be a truth-teller under these statements.
However, the conditional question asks: IF we assume Ravi is truth-teller, who MUST be a liar? From step 1, Manoj must be a liar.

Therefore, under the given condition, Manoj must be a liar.

Given: If Harsha is a truth-teller

Step 1: Harsha tells truth → 'Amit is liar' is true → Amit is liar.
Step 2: Amit (liar) says 'Anita is truth-teller' → this statement is false → Anita is liar.
Step 3: Anita (liar) says 'Kiran and I are different types' → this statement is false → Kiran is SAME type as Anita → Kiran is liar.
Step 4: Kiran (liar) says 'Harsha is truth-teller' → this statement is false → Harsha is liar → CONTRADICTION with our assumption!

This shows that Harsha CANNOT be a truth-teller under these statements.
However, the conditional question asks: IF we assume Harsha is truth-teller, who MUST be a liar? From step 1, Amit must be a liar.

Therefore, under the given condition, Amit must be a liar.

Given: If Ravi is a truth-teller

Step 1: Ravi tells truth → 'Anita is liar' is true → Anita is liar.
Step 2: Anita (liar) says 'Kiran is truth-teller' → this statement is false → Kiran is liar.
Step 3: Kiran (liar) says 'Deepa and I are different types' → this statement is false → Deepa is SAME type as Kiran → Deepa is liar.
Step 4: Deepa (liar) says 'Ravi is truth-teller' → this statement is false → Ravi is liar → CONTRADICTION with our assumption!

This shows that Ravi CANNOT be a truth-teller under these statements.
However, the conditional question asks: IF we assume Ravi is truth-teller, who MUST be a liar? From step 1, Anita must be a liar.

Therefore, under the given condition, Anita must be a liar.

Given: If Ravi is a truth-teller

Step 1: Ravi tells truth → 'Sunil is liar' is true → Sunil is liar.
Step 2: Sunil (liar) says 'Deepa is truth-teller' → this statement is false → Deepa is liar.
Step 3: Deepa (liar) says 'Rohan and I are different types' → this statement is false → Rohan is SAME type as Deepa → Rohan is liar.
Step 4: Rohan (liar) says 'Ravi is truth-teller' → this statement is false → Ravi is liar → CONTRADICTION with our assumption!

This shows that Ravi CANNOT be a truth-teller under these statements.
However, the conditional question asks: IF we assume Ravi is truth-teller, who MUST be a liar? From step 1, Sunil must be a liar.

Therefore, under the given condition, Sunil must be a liar.

Given: If Deepa is a truth-teller

Step 1: Deepa tells truth → 'Farhan is liar' is true → Farhan is liar.
Step 2: Farhan (liar) says 'Sanjay is truth-teller' → this statement is false → Sanjay is liar.
Step 3: Sanjay (liar) says 'Amit and I are different types' → this statement is false → Amit is SAME type as Sanjay → Amit is liar.
Step 4: Amit (liar) says 'Deepa is truth-teller' → this statement is false → Deepa is liar → CONTRADICTION with our assumption!

This shows that Deepa CANNOT be a truth-teller under these statements.
However, the conditional question asks: IF we assume Deepa is truth-teller, who MUST be a liar? From step 1, Farhan must be a liar.

Therefore, under the given condition, Farhan must be a liar.

Given: If Divya is a truth-teller

Step 1: Divya tells truth → 'Pooja is liar' is true → Pooja is liar.
Step 2: Pooja (liar) says 'Harsha is truth-teller' → this statement is false → Harsha is liar.
Step 3: Harsha (liar) says 'Manoj and I are different types' → this statement is false → Manoj is SAME type as Harsha → Manoj is liar.
Step 4: Manoj (liar) says 'Divya is truth-teller' → this statement is false → Divya is liar → CONTRADICTION with our assumption!

This shows that Divya CANNOT be a truth-teller under these statements.
However, the conditional question asks: IF we assume Divya is truth-teller, who MUST be a liar? From step 1, Pooja must be a liar.

Therefore, under the given condition, Pooja must be a liar.

Given: If Pooja is a truth-teller

Step 1: Pooja tells truth → 'Harsha is liar' is true → Harsha is liar.
Step 2: Harsha (liar) says 'Deepa is truth-teller' → this statement is false → Deepa is liar.
Step 3: Deepa (liar) says 'Rahul and I are different types' → this statement is false → Rahul is SAME type as Deepa → Rahul is liar.
Step 4: Rahul (liar) says 'Pooja is truth-teller' → this statement is false → Pooja is liar → CONTRADICTION with our assumption!

This shows that Pooja CANNOT be a truth-teller under these statements.
However, the conditional question asks: IF we assume Pooja is truth-teller, who MUST be a liar? From step 1, Harsha must be a liar.

Therefore, under the given condition, Harsha must be a liar.

Given: If Amit is a truth-teller

Step 1: Amit tells truth → 'Neha is liar' is true → Neha is liar.
Step 2: Neha (liar) says 'Rahul is truth-teller' → this statement is false → Rahul is liar.
Step 3: Rahul (liar) says 'Ravi and I are different types' → this statement is false → Ravi is SAME type as Rahul → Ravi is liar.
Step 4: Ravi (liar) says 'Amit is truth-teller' → this statement is false → Amit is liar → CONTRADICTION with our assumption!

This shows that Amit CANNOT be a truth-teller under these statements.
However, the conditional question asks: IF we assume Amit is truth-teller, who MUST be a liar? From step 1, Neha must be a liar.

Therefore, under the given condition, Neha must be a liar.